{ "seed": 2093, "math_verification": { "passed": true, "y95": 1.18, "tolerance_sweep": [ { "kind": "tolerance", "epsilon": 0.01, "predicted": 0.055187317647129114, "observed": 0.056, "abs_error": 0.0008126823528708874 }, { "kind": "tolerance", "epsilon": 0.03, "predicted": 0.15844985968729142, "observed": 0.16, "abs_error": 0.0015501403127085867 }, { "kind": "tolerance", "epsilon": 0.08, "predicted": 0.3838849584642059, "observed": 0.384, "abs_error": 0.00011504153579411369 } ], "mismatch_sweep": [ { "lambda_hat": 0.49, "predicted": 1.3216443003227596, "observed": 1.322 }, { "lambda_hat": 0.45, "predicted": 0.41708210481067665, "observed": 0.41800000000000004 }, { "lambda_hat": 0.4, "predicted": 0.22930622267090683, "observed": 0.23 }, { "lambda_hat": 0.3, "predicted": 0.12110459271064414, "observed": 0.122 } ], "tolerance_monotonicity": { "predicted": [ 0.027915404839055205, 0.055187317647129114, 0.10792729431339423, 0.20695264027937493, 0.3838849584642059 ], "observed": [ 0.028000000000000004, 0.056, 0.108, 0.20800000000000002, 0.384 ] }, "max_grid_abs_error": 0.0015501403127085867 }, "mini_experiment": { "shared_theta": 0.22422495149592786, "windows": 166, "window_lengths": [ 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 9, 35, 14, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 8, 35, 35, 7, 7, 7, 8, 12, 35, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 22, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6 ], "shared_rmse": 37.227437287685824, "adaptive_rmse": 2.497192573063749, "shared_final_rmse": 85.42118934562596, "adaptive_final_rmse": 5.519115501026724, "adaptive_boundary_count": 165, "adaptive_boundary_terminal_error_q95": [ 0.001834894563549283, 0.003969609606743985, 0.0043930331844653555, 0.0026989376035817304, 0.0007322426135721204, 0.00012332861709283272, 0.0003339709215051556, 0.002660586745256621 ] } }